2 8/9 as a Decimal

Answer

2 8/9 in decimal form can be written as 2.8888... It is a recurring decimal, indicating that the digit 8 will repeat infinitely.

Explanation

To convert 2 8/9 into a decimal, we first convert the fractional part 8/9 into a decimal. Let's use the division method:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 8 is smaller than 9, we use decimals. We add 0 to the dividend, making 8 as 80 and place a decimal point in the quotient.

Step 3: Now, divide 80 by 9.

Step 4: 80 is not a multiple of 9, so we find the nearest number, which is 9 × 8 = 72. Write 8 in the quotient and subtract 72 from 80, resulting in 8.

Step 5: Bring down another 0, making it 80, and repeat the division process. This process continues, and the remainder doesn't become 0, which is called a recurring decimal.

Finally, add the whole number 2 to the result, making it 2.8888....

• Fraction: A numerical expression representing a part of a whole.
   
• Decimal: A numerical representation using base ten with a decimal point to separate the whole and fractional parts.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.